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The Rank of U_V-Generated Modules

Author

Listed:
  • Fitriani -
  • Indah Emilia Wijayanti
  • Budi Surodjo
  • Ahmad Faisol

Abstract

Let U be a nonempty set of R-modules and V be a submodule of ⊕_ÊŒU_λ, U_λ∈U for all λ∈Λ. A U_V generated module is a generalization of U-generated module by using the concept of V-coexact sequence. We say that an R-module N is generated by U_V if there is an epimorphism from V to N. In this paper, we introduce the definition of rank of U_V-generated modules. Furthermore, we investigate some properties of rank of UV-generated modules.

Suggested Citation

  • Fitriani - & Indah Emilia Wijayanti & Budi Surodjo & Ahmad Faisol, 2021. "The Rank of U_V-Generated Modules," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 13(4), pages 1-81, October.
    • Handle: RePEc:ibn:jmrjnl:v:13:y:2021:i:4:p:81
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    Cited by:

    1. Keck, Felix & Jütte, Silke & Lenzen, Manfred & Li, Mengyu, 2022. "Assessment of two optimisation methods for renewable energy capacity expansion planning," Applied Energy, Elsevier, vol. 306(PA).

    More about this item

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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